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Finding the Fourth Proportional to 163.96, 244.76 and 148.36

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Solution

The fourth proportional to 163.96, 244.76 and 148.36 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 244.76 = 148.36 : x
  2. Step 2: Convert to fraction form
    163.96/244.76 = 148.36/x
  3. Step 3: Cross multiply
    163.96x = 244.76 × 148.36
  4. Step 4: Simplify right side
    163.96x = 36,312.59
  5. Step 5: Solve for x
    x = 36,312.59/163.96
  6. Step 6: Final answer
    x = 221.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.